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Let’s check out your problem:
Solve for
c
c
c
.
\newline
4
(
3
+
c
)
+
c
=
c
+
4
4(3+c)+c=c+4
4
(
3
+
c
)
+
c
=
c
+
4
\newline
c
=
c=
c
=
View step-by-step help
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Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
c
c
c
.
\newline
4
(
3
+
c
)
+
c
=
c
+
4
4(3+c)+c=c+4
4
(
3
+
c
)
+
c
=
c
+
4
\newline
c
=
c=
c
=
Distribute the
4
4
4
:
Distribute the
4
4
4
into the parentheses.
\newline
4
(
3
+
c
)
+
c
=
c
+
4
4(3+c) + c = c + 4
4
(
3
+
c
)
+
c
=
c
+
4
\newline
4
⋅
3
+
4
c
+
c
=
c
+
4
4\cdot 3 + 4c + c = c + 4
4
⋅
3
+
4
c
+
c
=
c
+
4
\newline
12
+
4
c
+
c
=
c
+
4
12 + 4c + c = c + 4
12
+
4
c
+
c
=
c
+
4
Combine like terms:
Combine like terms on the left side of the equation.
\newline
12
+
4
c
+
c
=
c
+
4
12 + 4c + c = c + 4
12
+
4
c
+
c
=
c
+
4
\newline
12
+
5
c
=
c
+
4
12 + 5c = c + 4
12
+
5
c
=
c
+
4
Subtract
c
c
c
from both sides:
Subtract
c
c
c
from both sides to get all the
c
c
c
terms on one side.
\newline
12
+
5
c
−
c
=
c
+
4
−
c
12 + 5c - c = c + 4 - c
12
+
5
c
−
c
=
c
+
4
−
c
\newline
12
+
4
c
=
4
12 + 4c = 4
12
+
4
c
=
4
Subtract
12
12
12
from both sides:
Subtract
12
12
12
from both sides to isolate the c term.
\newline
12
+
4
c
−
12
=
4
−
12
12 + 4c - 12 = 4 - 12
12
+
4
c
−
12
=
4
−
12
\newline
4
c
=
−
8
4c = -8
4
c
=
−
8
Divide both sides by
4
4
4
:
Divide both sides by
4
4
4
to solve for
c
c
c
.
4
c
4
=
−
8
4
\frac{4c}{4} = \frac{-8}{4}
4
4
c
=
4
−
8
c
=
−
2
c = -2
c
=
−
2
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6
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7
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4
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(A) No solutions
\newline
(B) Exactly one solution
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(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
9
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=
16
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\newline
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